Download Course 3 Benchmark Test – Third Quarter (continued)

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NAME _____________________________________________ DATE __________________ PERIOD _________
Course 3 Benchmark Test – Third Quarter
1. SHORT ANSWER Alfonso leans a 20-foot
long ladder against a wall with the
base of the ladder 6 feet from the wall.
How far up the wall does the ladder
reach? Round to the nearest tenth if
necessary.
4. Which of the following figures show a
90° clockwise rotation of the figure
shown below?
about 19.1 ft
A.
2. What is the sum of the measures of the
interior angles of a pentagon?
B.
A. 900°
B. 720°
* C. 540°
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D. 450°
* C.
3. What is the distance between points A
and B shown on the coordinate plane?
y
D.
4
B
2
-4
-2
O
2
4
x
-2
A
-4
F. 8 units
* G. 10 units
H. 12 units
I. 14 units
227
Course 3 • Benchmark Test – Third Quarter
P rinter P DF
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Course 3 Benchmark Test – Third Quarter
5. If point H(-6, 2) is translated 4 units
up and 3 units right, what are the
coordinates of the translated image?
(continued)
8. What is the measure of angle 3?
3
F. H'(-2, 5)
* G. H'(-3, 6)
2
1
4
H. H'(-9, -2)
A. 45°
I. H'(-9, 6)
B. 90°
−−−
6. The dilation of CD is shown below.
What is the scale factor of the dilation?
* C. 135°
D. 225°
y
C
9. SHORT ANSWER Determine whether the
following figure is a right triangle.
Justify your answer.
C
D
D
x
1
A. −
12 mm
3
1
B. −
2
C. 2
37 mm
35 mm
Yes, the figure is a right triangle
because the sides satisfy the
Pythagorean Theorem:
122 + 352 = 372.
* D. 3
7. Which of the following terms describes
two lines that intersect to form right
angles?
F. parallel
* G. perpendicular
H. skew
I. straight
228
10. Point N(6, -5) is reflected across the
x-axis. What are the coordinates of
the image?
F. N'(-6, -5)
G. N'(-5, 6)
H. N'(5, -6)
* I. N'(6, 5)
Course 3 • Benchmark Test – Third Quarter
P rinter P DF
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O
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Course 3 Benchmark Test – Third Quarter
11. Parallel lines l and m are intersected
by transversal t as shown below. Which
of the following angles are not
congruent?
13. SHORT ANSWER Using the figure below,
write a paragraph proof to show that
m∠a = m∠b = 45°.
t
1
a
2
4
3
(continued)
b
5
7
6
m
8
* A. 1 and 2
B. 2 and 3
Sample answer: The triangle is
isosceles, so m∠a = m∠b. The sum
of the angles of a triangle is 180°.
So, a + b + 90 = 180, or
a + b = 90. Since a = b, a + a = 90,
or a = 45. So, m∠a = m∠b = 45°.
C. 3 and 6
14. What is the approximate distance
between points W(-4, 1) and Z(3, 7)?
Round to the nearest tenth.
D. 4 and 8
Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.
A. 10.8 units
12. Suppose triangle RST shown on the
coordinate grid is reflected across the
y-axis. Which ordered pair does not
represent a vertex of the reflected
triangle?
* B. 9.2 units
C. 8.3 units
D. 6.1 units
y
4
15. What is the value of n in the triangle
below?
2
R
-4
-2
O
-2
S
2
x
4
n
T
-4
47°
72°
F. (5, 1)
F. 47°
G. (-4, -2)
G. 51°
H. (2, -4)
* H. 61°
* I. (-2, 4)
I. 72°
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Course 3 • Benchmark Test – Third Quarter
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Course 3 Benchmark Test – Third Quarter
16. What is the measure of an interior
angle of a regular hexagon?
(continued)
−−−
19. What is the approximate length of NP
with endpoints N(7, 3) and P(-6, -2)?
Round to the nearest tenth.
F. 5.7 units
a
G. 6.5 units
* A. 120°
H. 10.2 units
B. 135°
* I. 13.9 units
C. 720°
D. 810°
17. Which rotation best describes the
transformation shown below?
E
y
F
E
D
4
F
2
D
-4
-2
O
2
4
20. SHORT ANSWER What is the length of
the diagonal of a square with 8-foot
sides? Round to the nearest tenth.
x
d
-4
8
F. 90° counterclockwise rotation
11.3 ft
G. 270° clockwise rotation
H. 180° rotation
* I. 90° clockwise rotation
18. Which set of numbers could be the
sides of a right triangle?
21. Which transformation does not result in
an image congruent to the original
figure?
A. translation
A. 6, 8, 12
* B. 8, 15, 17
C. 4, 12, 16
D. 9, 11, 21
230
B. rotation
C. reflection
* D. dilation
Course 3 • Benchmark Test – Third Quarter
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Course 3 Benchmark Test – Third Quarter
22. What is the value of x in the figure
below?
105°
x
(continued)
24. The legs of a right triangle measure
7 units and 24 units. What is the
measure of the hypotenuse? Round to
the nearest tenth if necessary.
F. 17 units
G. 20.4 units
F. 75°
H. 23.0 units
G. 85°
*
H. 105°
I. 115°
*I. 25 units
25. SHORT ANSWER Prove that triangle
ABC is an isosceles triangle.
10
y
A
8
23. Mary enlarged a 4- by 6-inch photo to a
10- by 15-inch photo. What is the scale
factor of the dilation?
6
4
2
Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.
A. 2
O
* B. 2.5
C. 6
D. 9
C
2
4
B
6
8
10x
Sample answer: Using the
58 and
distance formula, AB = √
58 . Since AB = AC, the
AC = √
triangle is isosceles.
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Course 3 • Benchmark Test – Third Quarter
P rinter P DF